plumiTangents to polar curves: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 7.3 Tangents to polar curves, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 5 questions on Tangents to polar curves, as a list
- June 2025, Core Pure 2, Q7 (12 marks): A O C B Initial line Figure 1 The curve C shown in Figure 1 has polar equation r a 1 sinθ ϖ θ ϖ where a is a constant. The tangents to C at the points A and B a
- June 2023, Core Pure 2, Q4 (7 marks): (a) Sketch the polar curve C, with equation r = 3 + 5 cos θ 0 θ 2π On your sketch clearly label the pole, the initial line and the value of r at the point w
- June 2022, Core Pure 2, Q7 (10 marks): A O R C Initial line Figure 1 Figure 1 shows a sketch of the curve C with equation r = 1 + tan θ 0 θ < 3 π Figure 1 also shows the tangent to C at the point A
- November 2021, Core Pure 2, Q6 (14 marks): The curve C has equation r = a(p + 2 cos θ) 0 θ < 2π where a and p are positive constants and p > 2 There are exactly four points on C where the tangent is pe
- June 2019, Further Pure 2, Q8 (13 marks): A B C D 5 cm Figure 1 Figure 1 shows the vertical cross section of a child’s spinning top. The point A is vertically above the point B and the height of the spi
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